Question

Find which of the following equations are quadratic:

(3x – 1)² = 5(x + 8)

Answer 1

(3x – 1)² = 5(x + 8)

`\implies` (9x² – 6x + 1) = 5x + 40

9x² – 6x – 5x + 1 – 40 = 0

∴ 9x² – 11x – 39 = 0; which is of the form ax² + bx + c = 0.

∴ Given equation is a quadratic equation.